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226208927268 = 223210758725059
BaseRepresentation
bin1101001010101100011…
…0100100111000100100
3210121212220000010202100
43102223012210320210
512201233441133033
6251530254212100
722225445104452
oct3225306447044
9717786003670
10226208927268
1187a31051175
1237a10ab4030
131844015436c
14ad3cc3d9d2
155d3e347513
hex34ab1a4e24

226208927268 has 36 divisors (see below), whose sum is σ = 577149889680. Its totient is φ = 74698273776.

The previous prime is 226208927257. The next prime is 226208927353. The reversal of 226208927268 is 862729802622.

226208927268 is a `hidden beast` number, since 2 + 2 + 620 + 8 + 9 + 2 + 7 + 2 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29358678 + ... + 29366381.

It is an arithmetic number, because the mean of its divisors is an integer number (16031941380).

Almost surely, 2226208927268 is an apocalyptic number.

It is an amenable number.

226208927268 is an abundant number, since it is smaller than the sum of its proper divisors (350940962412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226208927268 is a wasteful number, since it uses less digits than its factorization.

226208927268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58725176 (or 58725171 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

It can be divided in two parts, 226208 and 927268, that added together give a square (1153476 = 10742).

The spelling of 226208927268 in words is "two hundred twenty-six billion, two hundred eight million, nine hundred twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 58725059 117450118 176175177 234900236 352350354 528525531 704700708 1057051062 2114102124 6283581313 12567162626 18850743939 25134325252 37701487878 56552231817 75402975756 113104463634 226208927268